TY - JOUR AU - Bouchiba, S. AU - Kabbaj, S. PY - 2014/08/12 Y2 - 2024/03/28 TI - Regularity of Tensor Products Of $k$-Algebras JF - MATHEMATICA SCANDINAVICA JA - Math. Scand. VL - 115 IS - 1 SE - Articles DO - 10.7146/math.scand.a-18000 UR - https://www.mscand.dk/article/view/18000 SP - 5-19 AB - This paper tackles a problem on the possible transfer of regularity to tensor products of algebras over a field $k$. The main result establishes necessary and sufficient conditions for a Noetherian tensor product of two extension fields of $k$ to inherit regularity in various settings of separability. Thereby, we provide some applications as well as several original examples to illustrate or delimit the scope of the established results. ER -